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Finding the Third Proportional to 398,237 and 859,807

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Solution

The third proportional to 398,237 and 859,807 is: 1,856,352.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,237 : 859,807 = 859,807 : x
  2. Step 2: Convert to fraction form
    398,237/859,807 = 859,807/x
  3. Step 3: Cross multiply
    398,237x = 859,807 × 859,807
  4. Step 4: Simplify right side
    398,237x = 739,268,077,249
  5. Step 5: Solve for x
    x = 739,268,077,249/398,237
  6. Step 6: Final answer
    x = 1,856,352.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.